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The existence of a unique and bounded solution of the algebraic Riccati equation of multimodel estimation and control problems

✍ Scribed by Zoran Gajic


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
389 KB
Volume
10
Category
Article
ISSN
0167-6911

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πŸ“œ SIMILAR VOLUMES


Existence and uniqueness of unmixed solu
✍ David J. Clements; Harald K. Wimmer πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 193 KB

A solution X of a discrete-time algebraic Riccati equation is called unmixed if the corresponding closed-loop matrix (X ) has the property that the common roots of det(sI -(X )) and det(I -s (X ) \* ) (if any) are on the unit circle. A necessary and su cient condition is given for existence and uniq

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✍ Harald K. Wimmer πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 114 KB

The existence of a solution of the discrete-time algebraic Riccati equation is established assuming modulus controllability and positive semideΓΏniteness on the unit circle of the Popov function. As an application a nonstrictly bounded real lemma is obtained.